a, b, c are the lengths of three sides of a triangle ABC. If a, b, c are related by the relation a² + b² + c² = ab + bc + ca, then the value of sin²A+ sin²B + sin²C is

The value of  satisfying  is

If  then the value of x is

For any real values of θ, 

If sin 3A = cos (A - 26°), where 3A is an acute angle then the value of A is

• 29°

• 26°

• 23°

• 23°

Find the value of 

• 1

• 2

• -1

• -1

If x = a(sinθ + cosθ),  y = b(sinθ - cosθ) then the value of  is

• 0

• 1

• 2

• 2

If sin 5θ = cos 20° (0° < θ < 90°) then the value of θ is

• 4°

• 22°

• 10°

• 10°

ABCD is a rectangle of which AC is a diagonal. The value of  is

• 2

• 1/4

• 1

• 1/2

50.

In a Δ ABC,   and D divides BC internally in the ratio 1 : 3 then  is equal to

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